tmp/tmp9fzhbkwl/{from.md → to.md}
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| 1 |
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#### Argument concepts <a id="linalg.helpers.concepts">[[linalg.helpers.concepts]]</a>
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The exposition-only concepts defined in this section constrain the
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algorithms in [[linalg]].
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``` cpp
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template<class T>
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constexpr bool is-mdspan = false;
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template<class ElementType, class Extents, class Layout, class Accessor>
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constexpr bool is-mdspan<mdspan<ElementType, Extents, Layout, Accessor>> = true;
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template<class T>
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concept in-vector =
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is-mdspan<T> && T::rank() == 1;
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template<class T>
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concept out-vector =
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is-mdspan<T> && T::rank() == 1 &&
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is_assignable_v<typename T::reference, typename T::element_type> && T::is_always_unique();
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template<class T>
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concept inout-vector =
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is-mdspan<T> && T::rank() == 1 &&
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is_assignable_v<typename T::reference, typename T::element_type> && T::is_always_unique();
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template<class T>
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concept in-matrix =
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is-mdspan<T> && T::rank() == 2;
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template<class T>
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concept out-matrix =
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is-mdspan<T> && T::rank() == 2 &&
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is_assignable_v<typename T::reference, typename T::element_type> && T::is_always_unique();
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template<class T>
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concept inout-matrix =
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is-mdspan<T> && T::rank() == 2 &&
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is_assignable_v<typename T::reference, typename T::element_type> && T::is_always_unique();
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template<class T>
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constexpr bool is-layout-blas-packed = false; // exposition only
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template<class Triangle, class StorageOrder>
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constexpr bool is-layout-blas-packed<layout_blas_packed<Triangle, StorageOrder>> = true;
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template<class T>
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concept possibly-packed-inout-matrix =
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is-mdspan<T> && T::rank() == 2 &&
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is_assignable_v<typename T::reference, typename T::element_type> &&
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(T::is_always_unique() || is-layout-blas-packed<typename T::layout_type>);
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template<class T>
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concept in-object =
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is-mdspan<T> && (T::rank() == 1 || T::rank() == 2);
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template<class T>
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concept out-object =
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is-mdspan<T> && (T::rank() == 1 || T::rank() == 2) &&
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is_assignable_v<typename T::reference, typename T::element_type> && T::is_always_unique();
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template<class T>
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concept inout-object =
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is-mdspan<T> && (T::rank() == 1 || T::rank() == 2) &&
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is_assignable_v<typename T::reference, typename T::element_type> && T::is_always_unique();
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```
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If a function in [[linalg]] accesses the elements of a parameter
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constrained by `in-vector`, `in-matrix`, or `in-object`, those accesses
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will not modify the elements.
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Unless explicitly permitted, any `inout-vector`, `inout-matrix`,
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`inout-object`, `out-vector`, `out-matrix`, `out-object`, or
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`possibly-packed-inout-matrix` parameter of a function in [[linalg]]
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shall not overlap any other `mdspan` parameter of the function.
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